differentiating the mathematics classroom
TRANSCRIPT
Differentiating the Mathematics Classroom
Daphne Irby
Opening Activity
Sit at a table with others in your grade band.(K-2, 3-5, 6-8)
Read the article at your table and discuss.
Guided Math Sessions
Session 1● Effective math instruction.● What is Guided Math?● Creating the Environment
○ Classroom arrangement○ Numeracy rich○ Communication
The purpose of an effective mathematics
classroom is to teach students how to think
mathematically.
Goals
1. Participants will learn key strategies and tips for implementing a guided math workshop model utilizing data and incorporating the mathematical practices.
1. Participants will be able to take away ideas for each component of the model including warm-up ideas, centers and formative assessments.
How is math taught in your building? Think about differences in
classrooms and grade levels. What are the different components
(ie individual work time, whole group instruction, etc.) that are
included in your math instruction block?
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Grade Focus Areas
K–2Addition and subtraction - concepts, skills, and problem solving
and place value
3–5Multiplication and division of whole numbers and fractions –
concepts, skills, and problem solving
6Ratios and proportional relationships; early expressions and
equations
7Ratios and proportional relationships; arithmetic of rational
numbers
8 Linear algebra and linear functions
Key Areas of Focus in Mathematics
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The New Learning Standards Require
Three Shifts in Mathematics
1. Focus: Focus strongly where the Standards focus.
2. Coherence: Think across grades, and link to major topics
within grades (connections).
3. Rigor: In major topics, pursue conceptual understanding,
procedural skill and fluency, and application.
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Focus strongly where the standards focus
• Significantly narrow the scope of content and deepen
how time and energy is spent in the math classroom
• Focus deeply on what is emphasized in the standards,
so that students gain strong foundations
What is Guided Math?
● It takes place in a numeracy-rich environment.● One component of a math workshop● Students learn in small flexible groups based on their
readiness level● Students practice with the teacher, with each other and
then by themselves during the guided math lesson
Benefits of Guided Math
Teachers Students
Targeted teaching / Differentiation Targeted Standards-based instruction
On the spot error/misconception analysis Individual attention
Question Deeply Opportunity to speak and listen to
mathematical thinking
Focus Mathematical disposition increase
Growth Mindset
Comes from the belief that
“I can do this…with practice I can do this”
“If I just keep trying I can do this”
“If I persevere, I can do this”
Newest Brain Research
Brain Science
Seeing Math Visually
Make sure your room says “Math is one of the most important things you will ever learn.”
Mathematically Rich Environment
Mathematically Rich Environment(Chapter 2, Math Workstations in Action)
● General meeting space● Available tools (manipulatives, student toolkits)● Daily Schedule● Math Word Walls● Math Notebooks● Math Library● Math Workstation Data and Folder Area● Calendar● Anchor charts● I can statements
Routines and Structure● Establishing expectations (anchor charts)● Procedures● Rewards/Consequences● Social Skills● First 20 days of Guided Math● Guided Math PDF
5 Practices for Productive Math Discussions
● Anticipating likely student responses
● Monitoring students’ responses
● Selecting students to present
● Sequencing the responses
● Connecting responses and to key mathematical ideas
*5 Practices for Orchestrating Productive Mathematics Discussion by Margaret S. Smith
and Mary Kay Stein
Elements of Effective Mathematics Instruction
● Lesson Openers
● Focused mini-lesson
● Fluency Activities
● Problem-based investigations
● Guided Math- differentiated instruction
● Purposeful, skill-based centers
● Collaborative problem-solving
● Independent writing and active problem-solving
● Content-specific Vocabulary
● Assessments (Summative and Formative)
● Benchmarking and Progress Monitoring Assessment
HomeworkLook at your classroom environment. What does it say about how you feel about math? Is it a numeracy rich environment? Is it conducive to rich math discussions? What are some really strong elements of your math environment? What would you like to improve? Be prepared to discuss next session